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The bridge and torch problem (also known as The Midnight Train and Dangerous crossing ) is a logic puzzle that deals with four people, a bridge and a torch. He has to choose between three rooms.

DUPLICATE – http://puzzlefry.com/puzzles/crossing-the-bridge-puzzle-bridge-and-torch-problem-2/, SOLUTION- http://puzzlefry.com/puzzles/crossing-the-bridge-puzzle-bridge-and-torch-problem-2/. Srabon got a prime!! A

B Each coin weights 10 gms. (p7 has the torch), p2 in b2 [6][7] In all these variations, the structure and solution of the puzzle remain the same. (has the torch) The result of math class test came out.

We found another interesting puzzle for YOU-, Brain Development by Crazy Brain Teasers & Puzzles, Funny optical illusions to puzzle you and tease your brain, 1 to 50 Brain concentration level and focus on target Test, Five greedy pirates and gold coin distribution Puzzle. and “D” takes 10 minutes. A second equivalent solution swaps the return trips.

When do we call “10” while looking at number “2”?

A + not C or D, so A and B, must cross together first.

The bridge is only strong enough to support two people at a time. Srabon got a prime!! Which clock works best? Assumption: – If two person walks together they will move according to the person walking slower than the other one because of torch constraint. This strategy makes A the torch bearer, shuttling each person across the bridge:[4], This strategy does not permit a crossing in 15 minutes. This gives us, B+A+D+B+B = 2+1+8+2+2 = 15. + Tuesday, Thursday what are other two days staring with T? Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. , Basically, the two fastest people cross together on the 1st and 5th trips, the two slowest people cross together on the 3rd trip, and EITHER of the fastest people returns on the 2nd trip, and the other fastest person returns on the 4th trip. [2], An obvious first idea is that the cost of returning the torch to the people waiting to cross is an unavoidable expense which should be minimized. But then C or D must cross back to bring the torch to the other side, and so whoever solo-crossed must cross again. Each man and son bought an apple, But when they returned ... A farmer is taking her eggs to the market in a cart, but she hits a  pothole, which knocks over ... Let it be simple and as direct as possible. A When Putting all this together, A and B must cross first, since we know C and D cannot and we are minimizing crossings.

+ Not all people take the same time to cross the bridge. To find the correct solution, one must realize that forcing the two slowest people to cross individually wastes time which can be saved if they both cross together:[4]. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. A and B cross first using up 2 minutes. Nabila got ... Robi is a very serious student. +

Second, we show that in order for C and D to cross together that they need to cross on the second pair-cross: i.e. We found another interesting puzzle for YOU-, Brain Development by Crazy Brain Teasers & Puzzles, Funny optical illusions to puzzle you and tease your brain, 1 to 50 Brain concentration level and focus on target Test, http://puzzlefry.com/puzzles/crossing-the-bridge-puzzle-bridge-and-torch-problem-2/, Five greedy pirates and gold coin distribution Puzzle. p7, p10 start towards b2. ... Two fathers took their sons to a fruit stall. A and B cross first using up 2 minutes.

Learn how and when to remove this template message, "Some simple and not so simple maths problems", https://en.wikipedia.org/w/index.php?title=Bridge_and_torch_problem&oldid=984520855, Articles needing additional references from July 2014, All articles needing additional references, Wikipedia articles needing clarification from May 2020, Creative Commons Attribution-ShareAlike License, Paper discussing the Capacity C Torch Problem, Ted Ed Video and Exercise Based on Bridge and Torch Problem, Paper discussing A Systematic Solution to the Bridge Riddle using Combinatorics, This page was last edited on 20 October 2020, at 14:43. A returned and he took 1 min. And finally A and B cross together to make it 17 minutes! p10 in bridge(9 mins) “C” takes 5 and “D” takes 10 minutes. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. + It is a dark night and there is only one torch between them. people – p1 p2 p7 p10 (number denotes time taken for crossing), p1, p2 start journey to cross towards b2 from b1 (p1 has the torch), p1 reaches b2 and starts back towards b1.

First, we show that if the two slowest persons (C and D) cross separately, they accumulate a total crossing time of 15.

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then B crosses back over making it 15 minutes. They have one torch and, because it's night, the torch has to be used when crossing the bridge. The result of math class test came out.

[further explanation needed] In a variation called The Midnight Train, for example, person D needs 10 minutes instead of 8 to cross the bridge, and persons A, B, C and D, now called the four Gabrianni brothers, have 17 minutes to catch the midnight train.[1]. Person A can cross the bridge in 1 minute, B in 2 minutes, C in 5 minutes, and D in 8 minutes. Fariha’s mark was an even number. + Then, A must cross next, since we assume we should choose the fastest to make the solo-cross. It turned out ... A murderer is condemned to death. + [3], Four people come to a river in the night.

Paul, Sam and Dean are assigned the task of figuring out two numbers. {\displaystyle A

Also, it is impossible for them to cross together last, since this implies that one of them must have crossed previously, otherwise there would be three persons total on the start side. Four people need to cross a rickety bridge at night. p1 starts towards b2. <

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